Not a bad start, but there’s not a lot of contrast and dynamic range. The pictures are a little “flat”. I can’t help wondering if the camera is compressing the dynamic range… stopping the bright lights from ‘blowing out’ the picture while at the same time not allowing the darks to stay dark enough. The end result is a little less flattering than you were probably hoping for.
You might not need to wait for the DSLR, though. Have a read through your camera’s manual and see if anything pops out. There might even be Google tutorials for lightbox techniques using point-and-shoot cameras.
You’re on your way, though! You get to experience the joy of starting a new hobby all over again!